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8004245305 = 57236978837
BaseRepresentation
bin1110111010001011…
…10001011100111001
3202122211101210100211
413131011301130321
5112343041322210
63402130431121
7402231651100
oct73505613471
922584353324
108004245305
113438207a71
1216747324a1
139a739b534
1455d091037
1531ca8838a
hex1dd171739

8004245305 has 24 divisors (see below), whose sum is σ = 11177560008. Its totient is φ = 5486519808.

The previous prime is 8004245299. The next prime is 8004245309. The reversal of 8004245305 is 5035424008.

It can be written as a sum of positive squares in 4 ways, for example, as 1595922601 + 6408322704 = 39949^2 + 80052^2 .

It is not a de Polignac number, because 8004245305 - 27 = 8004245177 is a prime.

It is a super-2 number, since 2×80042453052 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8004245309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901347 + ... + 910183.

It is an arithmetic number, because the mean of its divisors is an integer number (465731667).

Almost surely, 28004245305 is an apocalyptic number.

It is an amenable number.

8004245305 is a deficient number, since it is larger than the sum of its proper divisors (3173314703).

8004245305 is a wasteful number, since it uses less digits than its factorization.

8004245305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 8004245305 is about 89466.4479288185. The cubic root of 8004245305 is about 2000.3537128566.

The spelling of 8004245305 in words is "eight billion, four million, two hundred forty-five thousand, three hundred five".

Divisors: 1 5 7 35 49 245 3697 8837 18485 25879 44185 61859 129395 181153 309295 433013 905765 2165065 32670389 163351945 228692723 1143463615 1600849061 8004245305